221002202200122 has 96 divisors (see below), whose sum is σ = 578236130334720. Its totient is φ = 59592691764000.

The previous prime is 221002202200079. The next prime is 221002202200133.

221002202200122 is a `hidden beast` number, since 2 + 2 + 100 + 220 + 220 + 0 + 122 = 666.

221002202200122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221002202200095 and 221002202200104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174874254 + ... + 176133497.

It is an arithmetic number, because the mean of its divisors is an integer number (6023293024320).

Almost surely, 2^{221002202200122} is an apocalyptic number.

221002202200122 is an abundant number, since it is smaller than the sum of its proper divisors (357233928134598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221002202200122 is a wasteful number, since it uses less digits than its factorization.

221002202200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351008048 (or 351008045 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 22100220 and 2200122, that added together give a palindrome (24300342).

The spelling of 221002202200122 in words is "two hundred twenty-one trillion, two billion, two hundred two million, two hundred thousand, one hundred twenty-two".